Pandaren mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Cataclysm
0 / 3
Hellscream's ReachNo standing yet
0 / 1
RamkahenFriendly · 1,400 / 6,000
0 / 2
Wrath of the Lich King
0 / 5
The Sons of HodirNo standing yet
0 / 2
The SunreaversFriendly · 1,791 / 6,000
0 / 2
The Wyrmrest AccordNeutral · 325 / 3,000
0 / 1
The Burning Crusade
0 / 16
Cenarion ExpeditionFriendly · 4,666 / 6,000
0 / 1
NetherwingNo standing yet
0 / 6
Sha'tari SkyguardNo standing yet
0 / 5
The Mag'harNo standing yet
0 / 4
Horde
36 / 536 to get now
Bilgewater CartelFriendly · 2,067 / 6,000
0 / 1
Darkspear TrollsFriendly · 5,124 / 6,000
3 / 8
OrgrimmarHonored · 1,366 / 12,000
16 / 18
Silvermoon CityNeutral · 2,192 / 3,000
4 / 9
Thunder BluffFriendly · 1,792 / 6,000
6 / 8
UndercityNeutral · 2,567 / 3,000
7 / 9
Darkspear Trolls and Orgrimmar and Silvermoon City and Thunder Bluff and Undercity mounts are available on their corresponding race. Create a new character and you can get them without the standing.
Standings come from the last update, about 7 hours ago. Some mounts may be missing or incorrect still. Please report any issues on the contact page.